What is 4log_{10}(2)+4log_{10}(x) ?

The solution to 4log_{10}(2)+4log_{10}(x) is log_{10}(16x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4log_{10}(2)+4log_{10}(x)

simplify

4 lo g_{10} (2) + 4 lo g_{10} (x)

lo g_{10} (16 x^{4})

Solution steps

4 lo g_{10} (2) + 4 lo g_{10} (x)

4 lo g_{10} (2) = lo g_{10} (2^{4})

4 lo g_{10} (x) = lo g_{10} (x^{4})

= lo g_{10} (2^{4}) + lo g_{10} (x^{4})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (2^{4}) + lo g_{10} (x^{4}) = lo g_{10} (2^{4} x^{4})

= lo g_{10} (2^{4} x^{4})

Simplify

2^{4} x^{4} : 16 x^{4}

= lo g_{10} (16 x^{4})

lo g_{10} (x^{3} y^{5})

\frac{1}{2} (- \frac{1}{3} ln ∣ y ∣ + \frac{1}{3} ln ∣ y - 3 ∣)

lo g_{10} (10 x) + lo g_{10} (20 y) - lo g_{10} (10)

ln (\frac{23}{20})

ln (c \frac{x ^{a}}{z ^{b}})

What is 4log_{10}(2)+4log_{10}(x) ?
The solution to 4log_{10}(2)+4log_{10}(x) is log_{10}(16x^4)